This paper presents explicit equilibrated fluxes for the local pure-Neumann problems used by the a posteriori error estimator in Ainsworth and Oden [M. Ainsworth, J.T. Oden, A procedure for a posteriori error estimation for h-p finite element methods, Comput. Methods Appl. Mech. Engrg. 101 (1992) 73
The relationship of some a posteriori estimators
β Scribed by J.Z. Zhu; Zhimin Zhang
- Book ID
- 104268109
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 754 KB
- Volume
- 176
- Category
- Article
- ISSN
- 0045-7825
No coin nor oath required. For personal study only.
β¦ Synopsis
We present analytical and numerical investigation in the relationship of the recovery error estimator and the implicit residual error estimator. It is shown that, analytically, both error estimators are equivalent for one-dimensional problems. Numerical study indicates that such equivalence also exist for two-dimensional problems.
π SIMILAR VOLUMES
We analyze two popular classes of a posteriori error estimates within the abstract framework established by Babugka and Aziz (1972). Within this framework, we find that bounds for the a posteriori error estimates depend on several of the same constants as a priori error estimates, notably the famous